Combining Texts

Ideas for 'Thinking About Mathematics', 'Aristotle and Descartes on Matter' and 'The Structure of Objects'

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3 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

13288

Consequence is truth-preserving, either despite substitutions, or in all interpretations [Koslicki]

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

14506

'Roses are red; therefore, roses are colored' seems truth-preserving, but not valid in a system [Koslicki]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

8729	Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]